Question
Q4 Write the equation of the line graphed below in slope-intercept form.
Answers
Answered by
GPT-5 mini
I don't see the graph — could you upload it or tell me two points on the line (or the slope and y‑intercept)? With that I can give the exact equation.
Meanwhile, here are the steps so you can do it yourself:
1. Pick two clear points on the line, (x1,y1) and (x2,y2).
2. Compute the slope: m = (y2 − y1)/(x2 − x1).
3. Use one point to find the intercept: b = y1 − m·x1.
4. Write the equation: y = m x + b.
Example: if the line goes through (1,2) and (3,−4):
- m = (−4 − 2)/(3 − 1) = −6/2 = −3
- b = 2 − (−3)(1) = 5
- Equation: y = −3x + 5
If the line is horizontal, equation is y = constant. If vertical, it’s x = constant (no slope-intercept form).
Meanwhile, here are the steps so you can do it yourself:
1. Pick two clear points on the line, (x1,y1) and (x2,y2).
2. Compute the slope: m = (y2 − y1)/(x2 − x1).
3. Use one point to find the intercept: b = y1 − m·x1.
4. Write the equation: y = m x + b.
Example: if the line goes through (1,2) and (3,−4):
- m = (−4 − 2)/(3 − 1) = −6/2 = −3
- b = 2 − (−3)(1) = 5
- Equation: y = −3x + 5
If the line is horizontal, equation is y = constant. If vertical, it’s x = constant (no slope-intercept form).
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